On the Kawamata–Viehweg vanishing theorem for log Calabi–Yau surfaces in large characteristic
Kawakami, Tatsuro1
1 Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502 (Japan)
Annales de l'Institut Fourier, Online first, 19 p.

We prove that the Kawamata–Viehweg vanishing theorem holds for a log Calabi–Yau surface (X,B) over an algebraically closed field of large characteristic when B has standard coefficients.

Nous démontrons le théorème d’annulation de Kawamata–Viehweg pour une surface log Calabi–Yau (X,B) sur un corps algébriquement clos de grande caractéristique, lorsque B a des coefficients standards.

Received:
Revised:
Accepted:
Online First:
DOI: 10.5802/aif.3709
Classification: 14F17, 14E30, 14D15
Keywords: Kawamata–Viehweg vanishing, log Calabi–Yau surfaces, liftability to the ring of Witt vectors, positive characteristic
Mots-clés : annulation de Kawamata–Viehweg, surfaces log Calabi–Yau, relèvements à l’anneau des vecteurs de Witt, caractéristique positive

Kawakami, Tatsuro 1

1 Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502 (Japan) 
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Kawakami, Tatsuro. On the Kawamata–Viehweg vanishing theorem for log Calabi–Yau surfaces in large characteristic. Annales de l'Institut Fourier, Online first, 19 p.

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